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Finding the Fourth Proportional to 644,308.38, 966,456.42 and 391,658.64

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Solution

The fourth proportional to 644,308.38, 966,456.42 and 391,658.64 is: 587,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,308.38 : 966,456.42 = 391,658.64 : x
  2. Step 2: Convert to fraction form
    644,308.38/966,456.42 = 391,658.64/x
  3. Step 3: Cross multiply
    644,308.38x = 966,456.42 × 391,658.64
  4. Step 4: Simplify right side
    644,308.38x = 378,521,007,076.47
  5. Step 5: Solve for x
    x = 378,521,007,076.47/644,308.38
  6. Step 6: Final answer
    x = 587,484.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.